Look at this equation: \[ a^{3}=64 \] What is \( a \), the cube root of 64 ? \( a= \)

To find \( a \) in the equation \( a^{3} = 64 \), you need to calculate the cube root of 64. Since \( 4 \times 4 \times 4 = 64 \), you can easily see that \( a = 4 \). So, the solution is \( a = 4 \). Cube roots aren't just a math curiosity; they pop up all over, from physics in calculating volumes to even in finance when figuring out rates of return or compound growth. Understanding how to manipulate these roots can open up a world of problem-solving opportunities in various fields, making you not just a math whiz but a critical thinker in practical scenarios. If you're intrigued by cube roots, consider diving into related mathematical concepts such as quadratic equations and the fascinating world of higher dimensions. Books like "Flatland" by Edwin A. Abbott or "The Art of Mathematics: Coffee Time in Memphis" by Béla Bollobás are delightful reads that intertwine math and storytelling, giving you a broad perspective on mathematical concepts while keeping you entertained!